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Cited by 486

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Discrete Hubbard-Stratonovich transformation for fermion lattice models

Hirsch, J. E.·1983·Physical Review B
DOI 10.1103/physrevb.28.4059
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Abstract

We discuss a new functional-integral formulation of interacting fermion systems on a lattice such as the Anderson or Hubbard models: the fermion-fermion interaction is eliminated by introducing auxiliary Ising variables. The resulting model for a $d$-dimensional quantum system is a ($d+1$)-dimensional Ising model with complicated interactions. The new transformation is particularly useful for performing numerical studies of these models using Monte Carlo techniques. We study its convergence properties and compare it with the usual Gaussian formulation for the case of the Hubbard model.

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Metadata

Authors
Hirsch, J. E.
Venue
Physical Review B
Publisher
American Physical Society (APS)
Published
1983-10-01
Volume
28
Issue
7
Pages
4059-4061
ISSN
0163-1829 (ISSN-L)
DOI
10.1103/physrevb.28.4059
OpenAlex
W2057465690
Cited by
486
References
0
FWCI
3.93
Type
journal article
Language
en
Open access
closed

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CoChat. (2026). Citation check: Discrete Hubbard-Stratonovich transformation for fermion lattice models. https://app.cochat.ai/papers/10.1103/physrevb.28.4059
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Hirsch, J. E. (1983). Discrete Hubbard-Stratonovich transformation for fermion lattice models. Physical Review B. https://doi.org/10.1103/physrevb.28.4059

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Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.